Calculus question and answers for August 04, 2023
- Q An investment of $25,000 earns 2.35% annual interest and is compounded continuously. If no funds are added or removed from this account, what is the future value of the investment...
- Q Find the volume of the solid by subtracting two volumes. the solid enclosed by the parabolic cylinders y = 1 - x, y = x - 1 and the planes...
- Q Order the steps you would take to find the inverse function of f(x).Start1. Solve for y.2 Interchange x and y.Write y = f(x)Write y = f(x)
- Q Find the indefinite integral ?(10sinu +3 cosu) du
- Q Denise took out a loan to buy a She-Shed for her house. She decides to pay the loan back in full before its due date. If she's paying $165.20 monthly...
- Q Find dy/dx by implicit differentiation.x+ 2y + y = 5x
- Q A special-events promoter sells x tickets and has a marginal-profit function given by P'(x)=2x-1200, where P'(x) is in dollars per ticket. This means that the rate of change of total...
- Q A company determines that its weekly online sales, S(t), in hundreds of dollars, t weeks after online sales began can be estimated by the equation below. Find the average weekly...
- Q Find f such that f'(x) = 7/?x, f(16) = 62.f(x) =
- Q For the following function, a) give the coordinates of any critical points and classify each point as a relative maximum, a relative minimum, or neither; b) identify intervals where the...
- Q Find f such that f'(x) = 4x + 9x-3 and f(0) = 1.f(x) =
- Q Let f(x) = |x|, g(x)=x-4, and h(x)=x4.Write N(x)=x-8 as a composition of functions.Choose the following composition that correctly defines N(x)=x-8.A. fogohB. gogC. hogD. goh
- Q 2. If f'(x)/4x = ?(x2+9) and f(0) = -5, find f(4)A. 746/3B. 377/3C. 623/3D. 500/3E. 254/3
- Q Consider f(x) = 3x?(3+8x)Determine the intervals on which f is decreasing.f is decreasing on:f is decreasing nowhere.Determine the intervals on which f is increasing.f is increasing on:f is increasing nowhere.Determine...
- Q Consider g(x) = -10 arcsin ( - 12x)Determine the intervals on which g is decreasing.g is decreasing on:g is decreasing nowhere.Determine the intervals on which g is increasing.g is increasing...
- Q Find f(x) by solving the initial-value problemf'(x) = 4ex 10x; f(0) = 6
- Q When you have watched the video and taken your notes, type the equation of a linear function whose y-intercept, is (0,-11) in the text-box, be sure to use correct function...
- Q Calculusabout the x-axis please sketch and findvolume curves x axisConsider the given curves to do the following.z+y-6, z=10-(y-2)Use the method of cylindrical shells to find the volume V of the...
- Q Suppose you deposit $4000 at 6% interest compounded continously. Find the average value of youraccount during the first 3 years.
- Q Integrate ?x /?x^6+36 dx.
- Q Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)y =x/x + 12interceptrelative minimum.relative...
- Q Rewrite F(x) as F(u) using a substitution of variables.F(x) = ?(3x + 2) cos (x + 2x) dxF(u) = ? cos u duF(u) = ? sin u duF(u) =-? cos...
- Q Integrate: f(x) =?2/?16 x dx
- Q Calculate the indefinite integral?2dt/?25-9t
- Q What is ? 5 dx?? 5 dx = -5x + C?5 dx = 5x + C?5 dx = 5x?5 dx = 5x + C
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